## X(1498) (REFLECTION OF X(64) IN X(3))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.

You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.

 The JRE (Java Runtime Environment) is not enabled in your browser!

This applet was built with the free and multiplatform dynamic geometry software C.a.R..

 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           f(A,B,C) : f(B,C,A) : f(C,A,B), where f(A,B,C) = (sin A)(tan2B + tan2C - tan2A)
Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

X(1498) is the perspector of the tangential triangle and the reflection of triangle ABC in X(3); also, X(1498) is X(8)-of tangential triangle. (Darij Grinberg, 6/2/03)

X(1498) lies on these lines:
1,84    3,64    4,6    20,394    24,1192    25,185    30,155    40,219    159,1350    195,382    1158,1214

X(1498) = reflection of X(I) in X(J) for these (I,J): (64,3), (1350,159)
X(1498) = X(I)-Ceva conjugate of X(J) for these (I,J): (20,3), (394,6)
X(1498) = crosssum of X(122) and X(523)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.